Pith Number

pith:DASK6KDA

pith:2024:DASK6KDARLFZCKTGNKUGJQNVLH

not attested not anchored not stored refs pending

Relationships between Global and Local Monotonicity of Operators

Boris S. Mordukhovich, Juan Enrique Mart\'inez-Legaz, Pham Duy Khanh, Vu Vinh Huy Khoa

arxiv:2403.20227 v1 · 2024-03-29 · math.FA · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DASK6KDARLFZCKTGNKUGJQNVLH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T08:02:16.010289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1824af28608acb912a666aa864c1b559c75212947ac5deec9b15b04eaef34e4f

Aliases

arxiv: 2403.20227 · arxiv_version: 2403.20227v1 · doi: 10.48550/arxiv.2403.20227 · pith_short_12: DASK6KDARLFZ · pith_short_16: DASK6KDARLFZCKTG · pith_short_8: DASK6KDA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DASK6KDARLFZCKTGNKUGJQNVLH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1824af28608acb912a666aa864c1b559c75212947ac5deec9b15b04eaef34e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a08e9146b76405dc4054f252fe7926a3b5c28b0d9714567efd93460568c1e097",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-03-29T15:11:53Z",
    "title_canon_sha256": "0617c2713f3c8bc023762241c372bd8da76502ca75c1383b0de57bda7e9ca085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.20227",
    "kind": "arxiv",
    "version": 1
  }
}